[Sync] Merge //components/browser_sync into one directory.

These were originally split due to a weird usage by cloud_print, which
is no longer part of chromium.

- Moved all of ./browser and ./common into .
- Ran //tools/git/mass-rename.py
- Merged the build targets
- Ran git cl format
- Fixed lint errors in //components/browser_sync

BUG=646955
TBR=cpu

Review-Url: https://codereview.chromium.org/2345843003
Cr-Commit-Position: refs/heads/master@{#419268}
200 files changed